Image deblurring process based on separable restoration methods

On removing blur in images using least squares solutions

“…A new approach in the restoration of a blurred image, which exploits a set of least squares solutions of the matrix equation (2.2), is proposed in the papers [19,20]. The least squares solutions are generated using the Moore-Penrose inverse.…”

“…the Moore-Penrose solution) of the matrix equation (2.2), and it is investigated in [4,5]. Furthermore, we have observed in [19,20] that the operator E(Y) frequently gives a better improvement of blurred image with respect to restoration contained in Y. Therefore, the method proposed in [19,20] is an improvement of image restoration methods.…”

“…The main purpose of this article is further investigation of the algorithm, introduced in [19,20], that allows us to remove a linear motion blur from images. The algorithm is based on the least squares solution of a matrix equation which represents the mathematical model of the linear motion blur.…”

“…Furthermore, the experimental and numerical results derived by applying the operator E on the restorations Y = TSVD and Y = TIK are described in the same section. Finally, the statistical description of results in [19,20] and also in Section 3 is presented in Section 4.…”

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Abstract.The further investigation of the image restoration method introduced in [19,20] is presented in this paper. Continuing investigations in that area, two additional applications of the method are investigated.

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